N4 Numeracy Book 2 The wee Maths Book of Big Brain Growth Length, Volume and Percentages Grow your brain Guaranteed to make your brain grow, just add some effort and hard work Don’t be afraid if you don’t know how to do it, yet! It’s not how fast you finish, but that you finish. It’s always better to try something than to try nothing. Don’t be worried about getting it wrong, getting it wrong is just part of the process known better as learning.
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N4 Numeracy Book 2 - Calderglen High School...N4 Numeracy Book 2 The wee Maths Book of Big Brain Growth Length, Volume and Percentages Grow your brain Guaranteed to make your brain
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N4 Numeracy
Book 2
The wee
Maths Book
of Big Brain
Growth
Length, Volume and Percentages
Grow your brain
Guaranteed to make
your brain grow, just
add some effort and
hard work
Don’t be afraid if
you don’t know how
to do it, yet!
It’s not how fast you
finish, but that you
finish.
It’s always better to
try something than
to try nothing.
Don’t be worried
about getting it
wrong, getting it
wrong is just part of
the process known
better as learning.
Page | 2
D Length and Volume
D1 I am aware of the different metric units in which length is
measured and can decide which unit is most appropriate in
a given context.
Complete this exercise without the aid of a calculator
1. Change these measurements into millimetres
(a) 7cm (b) 12cm (c) 8·6cm
(d) 3cm 4mm (e) 59·1cm (f) 702cm
2. Change these measurements to centimetres
(a) 60mm (b) 400mm (c) 250mm
(d) 3mm (e) 4m (f) 0·5m
(g) 17m (h) 8m 90cm (i) 9m 8cm
(j) 3·6m (k) 0·02m (l) 1·75m
3. Convert these measurements into metres
(a) 300cm (b) 5000cm (c) 1400cm
(d) 590cm (e) 60cm (f) 71cm
4. Convert these measurements into kilometres
(a) 19300m (b) 8650m (c) 450m
(d) 900000cm (e) 20000cm (f) 1400cm
Page | 3
5. Change the units of the following measurements as indicated
(a) 2·4 cm into mm (b) 3·2 km into m
(c) 180 cm into m (d) 1060 mm into cm
(e) 760 m into km (f) 0·03 m into cm
(g) 5·6 cm into mm (h) 0·72 km into m
(i) 69·35 cm into m (j) 34256 mm into cm
(k) 501 m into km (l) 1·94 m into cm
6. Change the units of the following measurements as indicated
(a) 31·3 cm into mm (b) 0·201 km into m
(c) 0·00503 m into cm (d) 43 mm into cm
(e) 34 m into km (f) 846·81 cm into m
(g) 0·062 cm into mm (h) 1·5 km into m
(i) 0·02 cm into m (j) 342·67 mm into cm
(k) 0·089 m into km (l) 43 m into cm
7. Change the units of the following measurements as indicated
(a) 0·71 cm into mm (b) 7·8 km into m
(c) 89·4 m into cm (d) 6·67 mm into cm
(e) 231 m into km (f) 9·08 cm into m
(g) 0·802 cm into mm (h) 1·05 km into m
(i) 27 cm into m (j) 9·34 mm into cm
(k) 0·9091 m into km (l) 202 m into cm
Page | 4
8. Elle is building some raised beds for growing vegetables.
She needs pieces of wood that are 1∙45 metres long.
When Elle goes to purchase the wood, she finds all the measurements
are in millimetres.
What length of wood does Elle need to order?
9. The heights of all of the members of One Direction are listed below.
Name Height
Niall 171cm
Harry 1780mm
Louis 1∙74m
Liam 177cm
What is the mean (average) height of the band?
10. Calculate the perimeter of the rectangle below.
32cm
1∙05m
Page | 5
11. Shaun uses a trundle wheel to measure the perimeter of the school’s
fence; he finds that it is 879 metres long. How many complete laps of
the school will Shaun need to run to ensure he covers 5 kilometres?
12. The distance from the Earth to
the Moon is approximately
370000 kilometres.
The Samsung Wind turbine in Fife is
200 metres tall.
How many of these wind turbines
would fit end-to-end between the
Earth and the Moon.?
13. Baked beans come in cylindrical tins 11 centimetres high and with
diameter 7 centimetres. The tins are packed into boxes measuring
420 mm by 280 mm by 350 mm.
(a) One layer of cans is placed (upright) into the bottom of the box
above.
How many cans will fit into the bottom layer?
(b) How many tins can be packed into the box altogether?
420mm
280mm
350mm
7cm
11cm
(tin and box not to scale)
Page | 6
D2 I can solve problems which involve perimeter and can
include inconsistent units
14. The diagram shows the dimensions of a swing park.
(a) Find the perimeter of the swing park in metres.
(b) Is 22 metres of fencing enough to fence the swing park.
Justify your answer with a calculation.
15. Another swing park is
shown.
Will 42 metres of
fencing be enough to
fence this swing park?
Justify your answer
with a calculation.
9 m
525cm
3 m
250cm
12 m
150cm
450cm
5 m
Page | 7
16. The following two shapes have the same perimeter.
Find the missing length of the triangle.
17. Lucy wants to decorate her kite with new ribbon around the
perimeter.
She bought a one metre roll of ribbon.
Will this be enough ribbon to decorate around her kite?
5cm
110mm
x
150mm
30cm
70mm 10mm
20mm 5cm
4cm
Page | 8
18. The diagram shows the room dimensions of Tammy’s bedroom.
Tammy wants to put new skirting boards round her bedroom.
(a) The door entrance is 60cm wide and will not require any skirting.
Calculate the amount of skirting board required.
(b) Skirting board costs £2·50 per metre.
Tammy has £45 will this be enough to buy the new skirting
boards?
520cm
4·7m
Page | 9
D3 I can comfortably convert between litres, millilitres and
cubic centimetres
19. Write the volume of each of the following items in litres.
(a) (b) (c)
2000 cm3 1400 cm3 350 cm3
(d) (e) (f)
5 ml 568 cm3 150 ml
(g) (h) (i)
Page | 10
500 ml 750 ml 3500 cm3
(j) (k) (l)
160000 cm3 5000 cm3 330 ml
20. Write the volume of each of the following items in millilitres.
(a) 160 litres (b) 50 litres (c) 2 litres
(d) 0·333 litres (e) 4 litres (f) 0·5 litres
(g) 0·568 litres (h) 0·75 litres (i) 0·05 litres
21. For each of your answers in Q2, give an example of a container which
would normally contain that volume.
Page | 11
22. I have 1 litre of water in a jug to be used in an experiment.
On the way to my table I spill some.
I have 780ml left. How much have I lost?
23. I have 1 litre of Sprite.
I give 300ml to William, 200ml to Paul and 250ml to Mia.
How much do I have left?
24. Mr Hart has to have a fluid intake of at least 2 litres.
He has drunk two 275ml of tea, one 300ml of coffee, 200ml of orange
juice and 180ml of water.
How much more fluid does Mr Hart require?
25. Clare is having a party and has bought three 2 litre bottles of fizzy
pop.
She has 30 party cups and decides to share the fizzy pop evenly.
How many millilitres will go in a cup?
26. Sarah needs 𝟏𝟏
𝟒 litres of vegetable stock for making lentil soup.
She decides to use OXO vegetable stock cubes and on the box it says:
“For a tasty stock dissolve one cube in 190 ml of boiling water.”
How many stock cubes will Sarah need for making her stock?
Page | 12
For this experiment you will need:
15 cm3 (1 tablespoon) of baking soda (sodium bicarbonate)
15 cm3 (1 tablespoon) of laundry detergent about 180 millilitres (3/4 cup) of water about 60 millilitres (1/4 cup) of vinegar several drops of food colouring (optional) a 400-milliliter (12-ounce) drinking glass a waterproof (plastic or metal) tray a teaspoon
27. Drew is looking at the materials needed for the Fizzing and Foaming
experiment.
(a) How many millilitres does a tablespoon hold?
(b) How many tablespoons of water are required?
(c) Drew has a 1 litre bottle of vinegar, how many Fizzing and
Foaming experiments can he complete with this bottle?